dbetadif

Distribution of Difference of Two Proportions

An imprecise inference presented in the study of Walley (1996) <doi:10.1111/j.2517-6161.1996.tb02065.x> is one of the statistical reasoning methods when prior information is unavailable. Functions and utils needed for illustrating this inferential paradigm are implemented for classroom teaching and further comprehensive research. Two imprecise models are demonstrated using multinomial data and 2x2 contingency table data. The concepts of prior ignorance and imprecision are discussed in lower and upper probabilities. Representation invariance principle, hypothesis testing, decision-making, and further generalization are also illustrated.

Chel Hee Lee

imprecise101

Introduction to Imprecise Probabilities

Mikelis Bickis

Angela McCourt

dbetadif function

<dl><dt>x</dt>
<dd>difference of two beta distributions</dd>
<dt>a1</dt>
<dd>shape 1 parameter of Beta distribution with control</dd>
<dt>b1</dt>
<dd>shape 2 parameter of Beta distribution with control</dd>
<dt>a2</dt>
<dd>shape 1 parameter of Beta distribution with treatment</dd>
<dt>b2</dt>
<dd>shape 2 parameter of Beta distribution with treatment</dd></dl>

Arguments

Distribution of Difference of Two Proportions — dbetadif

<dl>

<dt>x</dt>
<dd>difference of two beta distributions</dd>


<dt>a1</dt>
<dd>shape 1 parameter of Beta distribution with control</dd>


<dt>b1</dt>
<dd>shape 2 parameter of Beta distribution with control</dd>


<dt>a2</dt>
<dd>shape 1 parameter of Beta distribution with treatment</dd>


<dt>b2</dt>
<dd>shape 2 parameter of Beta distribution with treatment</dd>

</dl>

dbetadif: Distribution of Difference of Two Proportions

Description

Usage

Value

Arguments

References